Your name can be on the paperwork, your company can be in debt, it can even go bankrupt, as long as you did not do something called 'mismanagment' or 'fraud' you should be good. Being a minority shareholder implies that even if you had wanted you could not have stopped it from going the way it did, unless you happen to be a signing officer of the company able to act on his own, but that does not detract from the above.
Puncturing the corporate veil to go after the private assets or credit status of an officer of the company is a very high threshold to meet, in the case of 'peanuts' debts like the one we are talking about here nobody in their right mind is even going to try.
On top of that, he would have to be an officer of the company that has put up a personal guarantee for any of the debt to rub off, if you do that you're silly and I assume that since there is a corporate lawyer involved here and that the company is a Delaware corporation that he's well protected from that angle.